Geodesic
One representation of the results of action of approximate solutions in a problem with constraints of asymptotic nature
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 2, pp. 225-239
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We consider an abstract attainability problem with constraints of asymptotic nature defined in the form of a nonempty family of subsets in the space of usual solutions. Various variants of implementing asymptotic effects are considered (convergence in a topological space, cycles, and so on). A rather general method is suggested for presenting the results of action of approximate solutions; this method generalizes constructions based on sequences in the space of usual solutions.
Keywords: attraction set, ultrafilter.
Mots-clés : net 
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A. G. Chentsov. One representation of the results of action of approximate solutions in a problem with constraints of asymptotic nature. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 2, pp. 225-239. http://geodesic.mathdoc.fr/item/TIMM_2011_17_2_a18/

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